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Theorems · Definition · group theory

IsSimpleGroup.casesOn

{G : Type u_1} →
  [inst : Group G] →
    {motive : IsSimpleGroup G → Sort u} →
      (t : IsSimpleGroup G) →
        ([toNontrivial : Nontrivial G] →
            (eq_bot_or_eq_top_of_normal : ∀ (H : Subgroup G), H.Normal → H = ⊥ ∨ H = ⊤) → motive ⋯) →
          motive t
Defined in
Mathlib.GroupTheory.Subgroup.Simple
Cited by
1 results in Mathlib
Foundations
Depth 17 from the axioms · uses propext, Quot.sound
Assumes
Group
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

isSimpleGroup_iff · cited by 1isSimpleGroup_iffTop.top · cited by 9680Top.topGroup · cited by 6238GroupBot.bot · cited by 4720Bot.botSubgroup · cited by 3593SubgroupNontrivial · cited by 2416NontrivialSubgroup.Normal · cited by 334Subgroup.NormalIsSimpleGroup · cited by 26IsSimpleGroupIsSimpleGroup.casesOnCITED BYCITES

Cites7

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Cited by1

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